Question

Which of the following is correct?

• A. Determinant is a square matrix.
• B. Determinant is a number associated to a matrix.
• C. Determinant is a number associated to a square matrix.
• D. None of these.

Answer 1

Answer: (C)

Determinant is a number associated to a square matrix.

Answer 2

We know that to every square matrix,
A=$\begin{bmatrix}aij\end{bmatrix}$of order n.
We can associate a number called the determinant of square matrix A, where $\begin{bmatrix}aij\end{bmatrix}$=(i,j)th element of A.
Thus, the determinant is a number associated to a square matrix.
Hence, the correct answer is C.